Mathematics

Teachers’ Abilities to Make Sense of Variable Parts Reasoning

The purpose of this study was to investigate how teachers understand one specific aspect of proportional reasoning. We were interested in understanding the extent to which practicing teachers were able to make sense of reasoning that involved the fixed number of variable-sized parts perspective. We used two items, drawn from a larger dataset, that encouraged teachers to reason about proportional situations using a variable parts perspective.

Author/Presenter: 
Chandra Hawley Orrill
John E. Millett
Year: 
2020
Short Description: 

The purpose of this study was to investigate how teachers understand one specific aspect of proportional reasoning - the extent to which practicing teachers were able to make sense of reasoning that involved the fixed number of variable-sized parts perspective.

Different Ways to Implement Innovative Teaching Approaches at Scale

Maass, K., Cobb, P., Krainer, K., & Potari, D. (2019). Different ways to implement innovative teaching approaches at scale. Educational Studies in Mathematics, 102, 303-318.

Author/Presenter: 
Katja Maass
Paul Cobb
Konrad Krainer
Despina Potari
Lead Organization(s): 
Year: 
2019
Short Description: 

This article discusses the implementation of innovative teaching approaches in mathematics.

Efficacy of a First-Grade Mathematics Intervention on Measurement and Data Analysis

Well-designed mathematics instruction focused on concepts and problem-solving skills associated with measurement and data analysis can build a foundational understanding for more advanced mathematics. This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics intervention designed to increase first-grade students’ conceptual understanding and problem-solving skills around the areas of measurement and data analysis.

Author/Presenter: 
Christian T. Doabler
Ben Clarke
Derek Kosty
Jessica E. Turtura
Allison R. Firestone
Keith Smolkowski
Kathleen Jungjohann
Tasia L. Brafford
Nancy J. Nelson
Marah Sutherland
Hank Fien
Steven A. Maddox
Lead Organization(s): 
Year: 
2019
Short Description: 

This study investigated the efficacy of the Precision Mathematics Level 1 (PM-L1) intervention, a Tier 2 print- and technology-based mathematics intervention designed to increase first-grade students’ conceptual understanding and problem-solving skills around the areas of measurement and data analysis.

Applying the Curriculum Research Framework in the Design and Development of a Technology-Based Tier 2 Mathematics Intervention

Mathematics interventions aimed at accelerating the learning of students with mathematics difficulties (MD) should be developed through a design science approach such as the Curriculum Research Framework (CRF). Precision Mathematics is a National Science Foundation-funded DRK–12 Design and Development project focused on building mathematical proficiency with the critical concepts and problem-solving skills of early measurement and data analysis among first- and second-grade students with MD.

Author/Presenter: 
Christian T. Doabler
Ben Clarke
Allison R. Firestone
Jessica E. Turtura
Kathy J. Jungjohann
Tasia L. Brafford
Marah Sutherland
Nancy J. Nelson
Hank Fien
Lead Organization(s): 
Year: 
2019
Short Description: 

The production of the first-grade Precision Mathematics intervention was grounded in the Curriculum Research Framework (CRF), which involves a series of iterative cycles of development, implementation field-testing, analysis, and revision. Results from initial implementation studies suggest that teachers and students can feasibly implement the first-grade Precision Mathematics intervention in authentic education settings. Challenges faced in developing technology-based mathematics interventions are discussed.

Engaging Students with Non-routine Geometry Proof Tasks

Students who earned high marks during the proof semester of a geometry course were interviewed to understand what high-achieving students actually took away from the treatment of proof in geometry. The findings suggest that students had turned proving into a rote task, whereby they expected to mark a diagram and prove two triangles congruent.

Author/Presenter: 
Michelle Cirillo
Lead Organization(s): 
Year: 
2018
Short Description: 

Students who earned high marks during the proof semester of a geometry course were interviewed to understand what high-achieving students actually took away from the treatment of proof in geometry. The findings suggest that students had turned proving into a rote task, whereby they expected to mark a diagram and prove two triangles congruent.

Describing Curricular Materials for Mathematics Teacher Education in an Online, Rich Media Platform

This chapter explores a way of describing the teacher education curricular materials being developed by mathematics teacher educators through their interaction with the LessonSketch online platform (www.lessonsketch.org). We briefly describe the platform and the larger project and then using the experiences created by two fellows illustrate the kinds of materials being created by the teacher educators.

Author/Presenter: 
Daniel Chazan
Patricio Herbst
Dana Grosser-Clarkson
Elizabeth Fleming
Janet Walkoe
Emina Alibegović
Year: 
2018
Short Description: 

This chapter explores a way of describing the teacher education curricular materials being developed by mathematics teacher educators through their interaction with the LessonSketch online platform.

“You are Never too Little to Understand Your Culture”: Strengthening Early Childhood Teachers through the Diné Institute for Navajo Nation Educators

There is international and widespread recognition that early childhood education must be fully inclusive and based on the language, culture, and epistemology of local Indigenous communities (Kitson, 2010). Early childhood education (ECE) programs can only deliver on the promises ofculturally responsive schooling (Castagno & Brayboy, 2008; McCarty & Lee, 2014) when “staff members understand cultural expectations, relationships, and the subtleties of communication, including non-verbalcommunication” within the community (Kitson & Bowes, 2010, p.86).

Author/Presenter: 
Angelina E. Castagno
Tiffany Tracy
Desiree Denny
Breanna Davis
Hosava Kretzmann
Lead Organization(s): 
Year: 
2020
Short Description: 

This article describes one effort to strengthen early childhood teaching in schools on the Navajo Nation that centers the work of two teachers within a program attempting to support teachers in the development of academically rigorous, culturally responsive curriculum across the Navajo Nation.

Developing a Problem-Solving Measure for Grade 4

Problem solving is central to mathematics learning (NCTM, 2014). Assessments are needed that appropriately measure students’ problem-solving performance. More importantly, assessments must be grounded in robust validity evidence that justifies their interpretations and outcomes (AERAet al., 2014). Thus, measures that are grounded in validity evidence are warranted for use by practitioners and scholars. The purpose of this presentation is to convey validity evidence for a new measure titled Problem-Solving Measure for grade four (PSM4).

Author/Presenter: 
Jonathan Bostic
Gabriel Matney
Toni A. Sondergeld
Gregory E. Stone
Year: 
2019
Short Description: 

The purpose of this presentation is to convey validity evidence for a new measure titled Problem-Solving Measure for grade four (PSM4), an assessment within the previously published PSM series designed for elementary and middle grades students.

Does Early Algebra Matter? The Effectiveness of an Early Algebra Intervention in Grades 3 to 5

A cluster randomized trial design was used to examine the effectiveness of a Grades 3 to 5 early algebra intervention with a diverse student population. Forty-six schools in three school districts participated. Students in treatment schools were taught the intervention by classroom teachers during regular mathematics instruction. Students in control schools received only regular mathematics instruction.

Author/Presenter: 
Maria Blanton
Rena Stroud
Ana Stephens
Angela Murphy Gardiner
Despina A. Stylianou
Eric Knuth
Isil Isler-Baykal
Susanne Strachota
Lead Organization(s): 
Year: 
2019
Short Description: 

A cluster randomized trial design was used to examine the effectiveness of a Grades 3 to 5 early algebra intervention with a diverse student population.

Designing in Context: Reaching Beyond Usability in Learning Analytics Dashboard Design

Researchers and developers of learning analytics (LA) systems are increasingly adopting human-centred design (HCD) approaches, with growing need to understand how to apply design practice in different educational settings. In this paper, we present a design narrative of our experience developing dashboards to support middle school mathematics teachers’ pedagogical practices, in a multi-university, multi-school district, improvement science initiative in the United States.

Author/Presenter: 
June Ahn
Fabio Campos
Maria Hays
Daniela Digiacomo
Year: 
2019
Short Description: 

In this paper, authors present a design narrative of our experience developing dashboards to support middle school mathematics teachers’ pedagogical practices, in a multi-university, multi-school district, improvement science initiative in the United States.

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